show a = c, from H1 ⬝ H2 : a = c ------------ have e1 : a = b, from H1, have e2 : a = c, from e1 ⬝ H2, have e3 : c = a, from e2⁻¹, have e4 : b = a, from e1⁻¹, show b = c, from e1⁻¹ ⬝ e2 : b = c